https://doi.org/10.1140/epjp/s13360-025-07251-7
Regular Article
Superheavy nuclei ground-state masses and separation energies in the two-body model
1
Department of Physics, Faculty of Science, University of Hormozgan, P.O. Box 3995, Bandar Abbas, Iran
2
Faculty of Physics, Yazd University, P. O. Box 89195-741, Yazd, Iran
a
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Received:
14
August
2025
Accepted:
22
December
2025
Published online:
28
January
2026
Abstract
In the region of superheavy nuclei, where experimental data are scarce, theoretical calculations of separation energies and masses are vital for understanding their properties and potential stability. In this work, we calculate the proton and neutron separation energies for superheavy nuclei in the framework of a two-body model. To this aim, we first consider a nucleus as a two-body system, so using the Schrödinger equation in the presence of a nonrelativistic potential including the magnetic moments and Coulomb interactions, we determine the mass equation of the nuclei, analytically. Having the analytical solutions, we compute the ground-state mass of superheavy nuclei including Rf, Db, Sg, Bh, Hs, Mt, Ds, and Rg as well as the one- and two-nucleon separation energies. Our theoretical results are compared with the existing experimental data.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
